The study of alternating sign matrices (ASMs) occupies a central position in enumerative combinatorics, linking intricate algebraic methods with models from statistical physics. ASMs are square ...
Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...
The study of integer partitions has a long and storied history, notably beginning with the pioneering work of Hardy and Ramanujan, and continues to be enriched by modern asymptotic techniques. Recent ...
My primary research interests are in algebra and combinatorics. In particular, I work within the realm of combinatorial representation theory, attempting to connect combinatorial objects (such as ...